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Finding the Fourth Proportional to 7,048.70, 10,563.82 and 2,883.83

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Solution

The fourth proportional to 7,048.70, 10,563.82 and 2,883.83 is: 4,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.70 : 10,563.82 = 2,883.83 : x
  2. Step 2: Convert to fraction form
    7,048.70/10,563.82 = 2,883.83/x
  3. Step 3: Cross multiply
    7,048.70x = 10,563.82 × 2,883.83
  4. Step 4: Simplify right side
    7,048.70x = 30,464,230.71
  5. Step 5: Solve for x
    x = 30,464,230.71/7,048.70
  6. Step 6: Final answer
    x = 4,321.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.